(a) Where does the package strike the ground relative to the point at which it w
ID: 2128001 • Letter: #
Question
(a) Where does the package strike the ground relative to the point at which it was released? (meters)
(b) What are the horizontal and vertical components of the velocity of the package just before it hits the ground? (m/s)
(c) Find the angle of the impact.
A rescue plane drops a package of emergency rations to stranded hikers, as shown in the figure. The plane is traveling horizontally at 36.0 m/s at a height of 1.15 times 102 m above the ground. Where does the package strike the ground relative to the point at which it was released? (meters) What are the horizontal and vertical components of the velocity of the package just before it hits the ground? (m/s) Find the angle of the impact.Explanation / Answer
(a) Where does the package strike the ground relative to the point at which it was released?
t=sqrt(2h/g)=4.84452sec
distance=36*4.8445=174.4m
(b) What are the horizontal and vertical components of the velocity of the package just before it hits the ground? (m/s)
horizontal=36
vertical=sqrt(2gh)=47.4763=47.5m/s
(c) Find the angle of the impact
theta=tan^1 (47.5/36)
=52.8 degrees with horizontal in clockwise direction
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